Question 1 Astronut jan. 12 27 5 26 26 12 1 9 20 19 MSc in Financial Mathematics

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Question 1
Astronut
jan. 12 27 5 26 26 12 1 9 20 19
MSc in Financial Mathematics 2007/2008 Operational Techniques 1 Assignment no 1 Group 1
Jan. Feb. Feb. Mar. Apr. May jun. Aug sep.
Vincze Veit 8834797744
9 7 2 1 10 9 8 9 2 6
Anderson Herbert Schatz Plane Certo 9988911229 Moses 3276439779 Brandon 5 4 5 9 10 10 5 4 9 8 Drtina 10 10 9 7 6 7 5 4 8 8
NASAs astronaut crew currently includes 10 mission specialists who hold a doctoral degree in either astrophysics or astromedicine. One of these specialists will be assigned to each of the 10 flights scheduled for the upcoming nine months. Mission specialists are responsible for carrying out scientific and medical experiments in space or for launching, retrieving, or repairing satellites. The chief of astronaut personnel, himself a former crew member with three missions under his belt, must decide who should be assigned and trained for each of the very different missions Clearly, astronauts with medical educations are more suited to missions involving biological or medical experiments, whereas those with engineering- or physics-oriented degrees are best suited to other types of missions. The chief assigns each astronaut a rating on a scale of 1 to 10 for each possible mission, with a 10 being a perfect match for the task at hand and a I being a mismatch. Only one specialist is assigned to each flight, and none is reassigned until all others have flown at least once. ~'
(a) Who should be assigned to which flight? (b) NASA has just been notified that Anderson to getting married in February and has been granted highly sought publicity tour in Europe month. (He intends to take his wife and let the trip double as a honeymoon.) How does this change the final schedule? (c) Certo has complained that he was misrated on his January missions. Both ratings should be 10s, claims to the chief, who agrees and recomputed the schedule. Do any changes occur over schedule set in part (b)?
2 1 10 10 1 4 7 6 6 7
4 4 10 9 9 9 1 2 3 4 10 10 9 9 8 9 1 1 1 1 1 3 5 7 9 7 10 10 9 2
(d) What are the strengths and weaknesses of approach to scheduling?
Question 2
A Company manufactures purses, shaving bags, and backpacks. The construction of the three products requires lather and synthetic material, with leather being the limiting raw material. The production process uses two types of skilled labor: sewing and finishing. The following table gives the availability of the resources, their usage by the three products, and the profits per unit.
Formulate the problem as a linear program and find the optimum solution. Next, indicate whether the following changes in the resources will keep the current solution feasible. For the cases where feasibility is minted, determine the new optimum solution (values of the variables and the objective function).
(a) Available leather is increased to 45 ft2. (b) Available leather is decreased by 5 ft2. (c) Available sewing hours are changed to 38 hours. (d) Available sewing hours are changed to 46 hours. (e) Available finishing hours are decreased to 15 hours. (f) Available finishing ours are increased to 50 hours. (g) Would you recommend hiring an additional sewing worker at $ 15 an hour?

Explanation / Answer

Q 1 (d) ANSWER; in the vertical logic it provides logic link between means and ends. it encourages examination of risks. However getting consensus of objectives is difficult and takes long . it can also reduce the objectives to a simpler linear. it can lead to a inappropriate level of detail in too much or too little. whilst in the horizontal logic one of the potential strenghts would be that it requires analyses of whether objectives are measurable. it also helps to establish monitoring and evaluation framework. however finding measurable indicators for higher level of objectives is difficult. there is a tendency to establish unrealistic targets too early. Q 2 ANSWER c) Available sewing hours are changed to 38 hours.

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